The bunkbed conjecture remains true when gluing along a vertex

Published 11 Oct 2024 in math.PR and math.CO | (2410.08957v1)

Abstract: We show that the bunkbed conjecture remains true when gluing along a vertex. As immediate corollaries, we obtain that the bunkbed conjecture is true for forests and that a minimal counterexample to the bunkbed conjecture is 2-connected.

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